annotate libtomcrypt/src/headers/ltc_tommath.h @ 289:497fddd4a94e

code was untested and wrong.
author Matt Johnston <matt@ucc.asn.au>
date Wed, 08 Mar 2006 15:46:24 +0000
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children
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1 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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2 *
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3 * LibTomMath is a library that provides multiple-precision
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4 * integer arithmetic as well as number theoretic functionality.
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5 *
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6 * The library was designed directly after the MPI library by
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7 * Michael Fromberger but has been written from scratch with
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8 * additional optimizations in place.
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9 *
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10 * The library is free for all purposes without any express
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11 * guarantee it works.
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12 *
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13 * Tom St Denis, [email protected], http://math.libtomcrypt.org
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14 */
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15 #ifndef BN_H_
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16 #define BN_H_
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17
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18 #include <stdio.h>
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19 #include <string.h>
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20 #include <stdlib.h>
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21 #include <ctype.h>
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22 #include <limits.h>
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23
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24 #include <tommath_class.h>
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25
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26 #undef MIN
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27 #define MIN(x,y) ((x)<(y)?(x):(y))
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28 #undef MAX
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29 #define MAX(x,y) ((x)>(y)?(x):(y))
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30
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31 #ifdef __cplusplus
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32 extern "C" {
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33
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34 /* C++ compilers don't like assigning void * to mp_digit * */
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35 #define OPT_CAST(x) (x *)
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36
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37 #else
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38
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39 /* C on the other hand doesn't care */
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40 #define OPT_CAST(x)
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41
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42 #endif
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43
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44
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45 /* detect 64-bit mode if possible */
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46 #if defined(__x86_64__)
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47 #if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT))
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48 #define MP_64BIT
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49 #endif
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50 #endif
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51
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52 /* some default configurations.
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53 *
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54 * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits
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55 * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits
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56 *
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57 * At the very least a mp_digit must be able to hold 7 bits
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58 * [any size beyond that is ok provided it doesn't overflow the data type]
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59 */
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60 #ifdef MP_8BIT
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61 typedef unsigned char mp_digit;
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62 typedef unsigned short mp_word;
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63 #elif defined(MP_16BIT)
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64 typedef unsigned short mp_digit;
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65 typedef unsigned long mp_word;
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66 #elif defined(MP_64BIT)
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67 /* for GCC only on supported platforms */
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68 #ifndef CRYPT
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69 typedef unsigned long long ulong64;
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70 typedef signed long long long64;
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71 #endif
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72
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73 typedef unsigned long mp_digit;
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74 typedef unsigned long mp_word __attribute__ ((mode(TI)));
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75
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76 #define DIGIT_BIT 60
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77 #else
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78 /* this is the default case, 28-bit digits */
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79
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80 /* this is to make porting into LibTomCrypt easier :-) */
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81 #ifndef CRYPT
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82 #if defined(_MSC_VER) || defined(__BORLANDC__)
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83 typedef unsigned __int64 ulong64;
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84 typedef signed __int64 long64;
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85 #else
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86 typedef unsigned long long ulong64;
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87 typedef signed long long long64;
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88 #endif
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89 #endif
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90
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91 typedef unsigned long mp_digit;
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diff changeset
92 typedef ulong64 mp_word;
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diff changeset
93
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diff changeset
94 #ifdef MP_31BIT
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diff changeset
95 /* this is an extension that uses 31-bit digits */
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diff changeset
96 #define DIGIT_BIT 31
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diff changeset
97 #else
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diff changeset
98 /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */
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diff changeset
99 #define DIGIT_BIT 28
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diff changeset
100 #define MP_28BIT
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diff changeset
101 #endif
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diff changeset
102 #endif
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103
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diff changeset
104 /* define heap macros */
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diff changeset
105 #ifndef CRYPT
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diff changeset
106 /* default to libc stuff */
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diff changeset
107 #ifndef XMALLOC
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diff changeset
108 #define XMALLOC malloc
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diff changeset
109 #define XFREE free
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diff changeset
110 #define XREALLOC realloc
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diff changeset
111 #define XCALLOC calloc
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diff changeset
112 #else
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diff changeset
113 /* prototypes for our heap functions */
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diff changeset
114 extern void *XMALLOC(size_t n);
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diff changeset
115 extern void *XREALLOC(void *p, size_t n);
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diff changeset
116 extern void *XCALLOC(size_t n, size_t s);
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diff changeset
117 extern void XFREE(void *p);
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diff changeset
118 #endif
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diff changeset
119 #endif
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120
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121
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diff changeset
122 /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */
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diff changeset
123 #ifndef DIGIT_BIT
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diff changeset
124 #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */
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diff changeset
125 #endif
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126
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127 #define MP_DIGIT_BIT DIGIT_BIT
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diff changeset
128 #define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
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129 #define MP_DIGIT_MAX MP_MASK
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130
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diff changeset
131 /* equalities */
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diff changeset
132 #define MP_LT -1 /* less than */
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133 #define MP_EQ 0 /* equal to */
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diff changeset
134 #define MP_GT 1 /* greater than */
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135
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
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diff changeset
136 #define MP_ZPOS 0 /* positive integer */
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diff changeset
137 #define MP_NEG 1 /* negative */
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138
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
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diff changeset
139 #define MP_OKAY 0 /* ok result */
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diff changeset
140 #define MP_MEM -2 /* out of mem */
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diff changeset
141 #define MP_VAL -3 /* invalid input */
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diff changeset
142 #define MP_RANGE MP_VAL
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143
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
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diff changeset
144 #define MP_YES 1 /* yes response */
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diff changeset
145 #define MP_NO 0 /* no response */
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146
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
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diff changeset
147 /* Primality generation flags */
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148 #define LTM_PRIME_BBS 0x0001 /* BBS style prime */
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diff changeset
149 #define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
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150 #define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
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151
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
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diff changeset
152 typedef int mp_err;
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153
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diff changeset
154 /* you'll have to tune these... */
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155 extern int KARATSUBA_MUL_CUTOFF,
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diff changeset
156 KARATSUBA_SQR_CUTOFF,
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diff changeset
157 TOOM_MUL_CUTOFF,
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diff changeset
158 TOOM_SQR_CUTOFF;
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159
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
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diff changeset
160 /* define this to use lower memory usage routines (exptmods mostly) */
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diff changeset
161 /* #define MP_LOW_MEM */
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162
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diff changeset
163 /* default precision */
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164 #ifndef MP_PREC
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165 #ifndef MP_LOW_MEM
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diff changeset
166 #define MP_PREC 64 /* default digits of precision */
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167 #else
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168 #define MP_PREC 8 /* default digits of precision */
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169 #endif
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170 #endif
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171
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diff changeset
172 /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */
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diff changeset
173 #define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1))
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174
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diff changeset
175 /* the infamous mp_int structure */
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diff changeset
176 typedef struct {
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diff changeset
177 int used, alloc, sign;
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diff changeset
178 mp_digit *dp;
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diff changeset
179 } mp_int;
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180
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diff changeset
181 /* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
182 typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
183
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
184
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
185 #define USED(m) ((m)->used)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
186 #define DIGIT(m,k) ((m)->dp[(k)])
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
187 #define SIGN(m) ((m)->sign)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
188
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
189 /* error code to char* string */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
190 char *mp_error_to_string(int code);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
191
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
192 /* ---> init and deinit bignum functions <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
193 /* init a bignum */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
194 int mp_init(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
195
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
196 /* free a bignum */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
197 void mp_clear(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
198
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
199 /* init a null terminated series of arguments */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
200 int mp_init_multi(mp_int *mp, ...);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
201
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
202 /* clear a null terminated series of arguments */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
203 void mp_clear_multi(mp_int *mp, ...);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
204
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
205 /* exchange two ints */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
206 void mp_exch(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
207
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
208 /* shrink ram required for a bignum */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
209 int mp_shrink(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
210
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
211 /* grow an int to a given size */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
212 int mp_grow(mp_int *a, int size);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
213
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
214 /* init to a given number of digits */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
215 int mp_init_size(mp_int *a, int size);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
216
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
217 /* ---> Basic Manipulations <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
218 #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
219 #define mp_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
220 #define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
221
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
222 /* set to zero */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
223 void mp_zero(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
224
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
225 /* set to a digit */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
226 void mp_set(mp_int *a, mp_digit b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
227
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
228 /* set a 32-bit const */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
229 int mp_set_int(mp_int *a, unsigned long b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
230
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
231 /* get a 32-bit value */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
232 unsigned long mp_get_int(mp_int * a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
233
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
234 /* initialize and set a digit */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
235 int mp_init_set (mp_int * a, mp_digit b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
236
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
237 /* initialize and set 32-bit value */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
238 int mp_init_set_int (mp_int * a, unsigned long b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
239
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
240 /* copy, b = a */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
241 int mp_copy(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
242
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
243 /* inits and copies, a = b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
244 int mp_init_copy(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
245
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
246 /* trim unused digits */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
247 void mp_clamp(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
248
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
249 /* ---> digit manipulation <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
250
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
251 /* right shift by "b" digits */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
252 void mp_rshd(mp_int *a, int b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
253
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
254 /* left shift by "b" digits */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
255 int mp_lshd(mp_int *a, int b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
256
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
257 /* c = a / 2**b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
258 int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
259
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
260 /* b = a/2 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
261 int mp_div_2(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
262
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
263 /* c = a * 2**b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
264 int mp_mul_2d(mp_int *a, int b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
265
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
266 /* b = a*2 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
267 int mp_mul_2(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
268
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
269 /* c = a mod 2**d */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
270 int mp_mod_2d(mp_int *a, int b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
271
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
272 /* computes a = 2**b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
273 int mp_2expt(mp_int *a, int b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
274
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
275 /* Counts the number of lsbs which are zero before the first zero bit */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
276 int mp_cnt_lsb(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
277
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
278 /* I Love Earth! */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
279
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
280 /* makes a pseudo-random int of a given size */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
281 int mp_rand(mp_int *a, int digits);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
282
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
283 /* ---> binary operations <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
284 /* c = a XOR b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
285 int mp_xor(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
286
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
287 /* c = a OR b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
288 int mp_or(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
289
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
290 /* c = a AND b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
291 int mp_and(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
292
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
293 /* ---> Basic arithmetic <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
294
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
295 /* b = -a */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
296 int mp_neg(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
297
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
298 /* b = |a| */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
299 int mp_abs(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
300
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
301 /* compare a to b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
302 int mp_cmp(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
303
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
304 /* compare |a| to |b| */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
305 int mp_cmp_mag(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
306
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
307 /* c = a + b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
308 int mp_add(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
309
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
310 /* c = a - b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
311 int mp_sub(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
312
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
313 /* c = a * b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
314 int mp_mul(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
315
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
316 /* b = a*a */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
317 int mp_sqr(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
318
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
319 /* a/b => cb + d == a */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
320 int mp_div(mp_int *a, mp_int *b, mp_int *c, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
321
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
322 /* c = a mod b, 0 <= c < b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
323 int mp_mod(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
324
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
325 /* ---> single digit functions <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
326
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
327 /* compare against a single digit */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
328 int mp_cmp_d(mp_int *a, mp_digit b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
329
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
330 /* c = a + b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
331 int mp_add_d(mp_int *a, mp_digit b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
332
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
333 /* c = a - b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
334 int mp_sub_d(mp_int *a, mp_digit b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
335
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
336 /* c = a * b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
337 int mp_mul_d(mp_int *a, mp_digit b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
338
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
339 /* a/b => cb + d == a */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
340 int mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
341
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
342 /* a/3 => 3c + d == a */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
343 int mp_div_3(mp_int *a, mp_int *c, mp_digit *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
344
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
345 /* c = a**b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
346 int mp_expt_d(mp_int *a, mp_digit b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
347
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
348 /* c = a mod b, 0 <= c < b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
349 int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
350
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
351 /* ---> number theory <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
352
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
353 /* d = a + b (mod c) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
354 int mp_addmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
355
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
356 /* d = a - b (mod c) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
357 int mp_submod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
358
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
359 /* d = a * b (mod c) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
360 int mp_mulmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
361
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
362 /* c = a * a (mod b) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
363 int mp_sqrmod(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
364
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
365 /* c = 1/a (mod b) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
366 int mp_invmod(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
367
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
368 /* c = (a, b) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
369 int mp_gcd(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
370
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
371 /* produces value such that U1*a + U2*b = U3 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
372 int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
373
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
374 /* c = [a, b] or (a*b)/(a, b) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
375 int mp_lcm(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
376
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
377 /* finds one of the b'th root of a, such that |c|**b <= |a|
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
378 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
379 * returns error if a < 0 and b is even
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
380 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
381 int mp_n_root(mp_int *a, mp_digit b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
382
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
383 /* special sqrt algo */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
384 int mp_sqrt(mp_int *arg, mp_int *ret);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
385
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
386 /* is number a square? */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
387 int mp_is_square(mp_int *arg, int *ret);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
388
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
389 /* computes the jacobi c = (a | n) (or Legendre if b is prime) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
390 int mp_jacobi(mp_int *a, mp_int *n, int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
391
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
392 /* used to setup the Barrett reduction for a given modulus b */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
393 int mp_reduce_setup(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
394
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
395 /* Barrett Reduction, computes a (mod b) with a precomputed value c
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
396 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
397 * Assumes that 0 < a <= b*b, note if 0 > a > -(b*b) then you can merely
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
398 * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code].
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
399 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
400 int mp_reduce(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
401
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
402 /* setups the montgomery reduction */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
403 int mp_montgomery_setup(mp_int *a, mp_digit *mp);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
404
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
405 /* computes a = B**n mod b without division or multiplication useful for
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
406 * normalizing numbers in a Montgomery system.
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
407 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
408 int mp_montgomery_calc_normalization(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
409
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
410 /* computes x/R == x (mod N) via Montgomery Reduction */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
411 int mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
412
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
413 /* returns 1 if a is a valid DR modulus */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
414 int mp_dr_is_modulus(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
415
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
416 /* sets the value of "d" required for mp_dr_reduce */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
417 void mp_dr_setup(mp_int *a, mp_digit *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
418
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
419 /* reduces a modulo b using the Diminished Radix method */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
420 int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
421
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
422 /* returns true if a can be reduced with mp_reduce_2k */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
423 int mp_reduce_is_2k(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
424
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
425 /* determines k value for 2k reduction */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
426 int mp_reduce_2k_setup(mp_int *a, mp_digit *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
427
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
428 /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
429 int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
430
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
431 /* returns true if a can be reduced with mp_reduce_2k_l */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
432 int mp_reduce_is_2k_l(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
433
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
434 /* determines k value for 2k reduction */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
435 int mp_reduce_2k_setup_l(mp_int *a, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
436
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
437 /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
438 int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
439
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
440 /* d = a**b (mod c) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
441 int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
442
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
443 /* ---> Primes <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
444
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
445 /* number of primes */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
446 #ifdef MP_8BIT
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
447 #define PRIME_SIZE 31
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
448 #else
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
449 #define PRIME_SIZE 256
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
450 #endif
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
451
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
452 /* table of first PRIME_SIZE primes */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
453 extern const mp_digit ltm_prime_tab[];
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
454
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
455 /* result=1 if a is divisible by one of the first PRIME_SIZE primes */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
456 int mp_prime_is_divisible(mp_int *a, int *result);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
457
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
458 /* performs one Fermat test of "a" using base "b".
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
459 * Sets result to 0 if composite or 1 if probable prime
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
460 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
461 int mp_prime_fermat(mp_int *a, mp_int *b, int *result);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
462
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
463 /* performs one Miller-Rabin test of "a" using base "b".
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
464 * Sets result to 0 if composite or 1 if probable prime
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
465 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
466 int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
467
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
468 /* This gives [for a given bit size] the number of trials required
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
469 * such that Miller-Rabin gives a prob of failure lower than 2^-96
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
470 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
471 int mp_prime_rabin_miller_trials(int size);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
472
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
473 /* performs t rounds of Miller-Rabin on "a" using the first
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
474 * t prime bases. Also performs an initial sieve of trial
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
475 * division. Determines if "a" is prime with probability
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
476 * of error no more than (1/4)**t.
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
477 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
478 * Sets result to 1 if probably prime, 0 otherwise
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
479 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
480 int mp_prime_is_prime(mp_int *a, int t, int *result);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
481
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
482 /* finds the next prime after the number "a" using "t" trials
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
483 * of Miller-Rabin.
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
484 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
485 * bbs_style = 1 means the prime must be congruent to 3 mod 4
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
486 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
487 int mp_prime_next_prime(mp_int *a, int t, int bbs_style);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
488
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
489 /* makes a truly random prime of a given size (bytes),
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
490 * call with bbs = 1 if you want it to be congruent to 3 mod 4
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
491 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
492 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
493 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
494 * so it can be NULL
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
495 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
496 * The prime generated will be larger than 2^(8*size).
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
497 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
498 #define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
499
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
500 /* makes a truly random prime of a given size (bits),
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
501 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
502 * Flags are as follows:
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
503 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
504 * LTM_PRIME_BBS - make prime congruent to 3 mod 4
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
505 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
506 * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
507 * LTM_PRIME_2MSB_ON - make the 2nd highest bit one
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
508 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
509 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
510 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
511 * so it can be NULL
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
512 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
513 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
514 int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
515
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
516 /* ---> radix conversion <--- */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
517 int mp_count_bits(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
518
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
519 int mp_unsigned_bin_size(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
520 int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
521 int mp_to_unsigned_bin(mp_int *a, unsigned char *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
522 int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
523
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
524 int mp_signed_bin_size(mp_int *a);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
525 int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
526 int mp_to_signed_bin(mp_int *a, unsigned char *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
527 int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
528
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
529 int mp_read_radix(mp_int *a, const char *str, int radix);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
530 int mp_toradix(mp_int *a, char *str, int radix);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
531 int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
532 int mp_radix_size(mp_int *a, int radix, int *size);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
533
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
534 int mp_fread(mp_int *a, int radix, FILE *stream);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
535 int mp_fwrite(mp_int *a, int radix, FILE *stream);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
536
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
537 #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
538 #define mp_raw_size(mp) mp_signed_bin_size(mp)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
539 #define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
540 #define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
541 #define mp_mag_size(mp) mp_unsigned_bin_size(mp)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
542 #define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
543
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
544 #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
545 #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
546 #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
547 #define mp_tohex(M, S) mp_toradix((M), (S), 16)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
548
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
549 /* lowlevel functions, do not call! */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
550 int s_mp_add(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
551 int s_mp_sub(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
552 #define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1)
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
553 int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
554 int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
555 int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
556 int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
557 int fast_s_mp_sqr(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
558 int s_mp_sqr(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
559 int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
560 int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
561 int mp_karatsuba_sqr(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
562 int mp_toom_sqr(mp_int *a, mp_int *b);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
563 int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
564 int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
565 int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
566 int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
567 int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
568 void bn_reverse(unsigned char *s, int len);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
569
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
570 extern const char *mp_s_rmap;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
571
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
572 #ifdef __cplusplus
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
573 }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
574 #endif
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
575
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
576 #endif
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
577
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
578
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
579 /* $Source: /cvs/libtom/libtomcrypt/src/headers/ltc_tommath.h,v $ */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
580 /* $Revision: 1.4 $ */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
581 /* $Date: 2005/05/05 14:35:58 $ */